Computing all elliptic curves over an arbitrary number field with prescribed primes of bad reduction
Abstract
In this paper we study the problem of how to determine all elliptic curves defined over an arbitrary number field $K$ with good reduction outside a given finite set of primes $S$ of $K$ by solving $S$unit equations. We give examples of elliptic curves over $\mathbb Q$ and quadratic fields.
 Publication:

arXiv eprints
 Pub Date:
 November 2015
 arXiv:
 arXiv:1511.05108
 Bibcode:
 2015arXiv151105108K
 Keywords:

 Mathematics  Number Theory
 EPrint:
 19 pages